Solve (-2y)(-3x^2y^2)(-6xy^2)

$$( - 2 y ) ( - 3 x ^ { 2 } y ^ { 2 } ) ( - 6 x y ^ { 2 } )$$

Evaluate

$$-36x^{3}y^{5}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 1 and 2 to get 3.

$$-2y^{3}\left(-3\right)x^{2}\left(-6\right)xy^{2}$$

To multiply powers of the same base, add their exponents. Add 3 and 2 to get 5.

$$-2y^{5}\left(-3\right)x^{2}\left(-6\right)x$$

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$-2y^{5}\left(-3\right)x^{3}\left(-6\right)$$

Multiply -2 and -3 to get 6.

$$6y^{5}x^{3}\left(-6\right)$$

Multiply 6 and -6 to get -36.

$$-36y^{5}x^{3}$$

Differentiate w.r.t. x

$$-108x^{2}y^{5}$$